Question

Could some please help with this math question

Answer 1

For this case we have that the equation of a line of the point-slope form is given by:

$(y-y_ {0}) = m (x-x_ {0})$

To find the slope we look for two points through which the line passes:

We have to:

$(x1, y1) :( 0,2)\\(x2, y2) :( 4, -2)$

Thus, the slope is:

$m = \frac {y2-y1} {x2-x1} = \frac {-2-2} {4-0} = \frac {-4} {4} = - 1$

Substituting a point in the equation we have:

$(y - (- 2)) = - 1 (x-4)\\y + 2 = - (x-4)$

Answer:

Option A

Answer 2

Y + 2 = -(x - 4)

They point that they chose to identify for point-slope form was (4, -2)

The line slopes downward so the slope is -1

~~hope this helps~~